Question

The value of AD is:

A. 27

B. 28

C. 26

Answer 1

27

Explanation:

Angles ABD and DBC are congruent (they are marked as such in the diagram). That means that the sides across from these angles are also congruent: AD = CD. Therefore, we set them equal to each other:

3x = 2x + 9 and

x = 9.

That means that 3x --> 3(9) = 27